In some cases, multiple-step dilutions are required during sample preparation. Consider a case in which 50L of concentrated dye solution was first diluted to 250mL with distilled water. From this resulting solution, 600L was transferred to a 100mL volumetric flask and diluted with water to the mark. Calculate the dilution multiplication factor (DMF) that will be needed to be applied before reporting the concentration in the original solution. Show your calculations.